By lunchtime about 20 reports of trees or parts of trees coming down had been received by the police and passed on to the council.
Affected areas in Maidenhead included Winter Hill, Allenby Road and Shoppenhangers Road, as well as Horton near Windsor and Eton Wick.
A Royal Borough spokeswoman said the council had three teams of contractors working 'as quickly as possible' to clear up the debris.
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The Met Office has issued a yellow alert for Windsor and Maidenhead, Slough and Wokingham, warning that rain moving eastwards across the south of the country may turn to snow in some places.